Answer:
2 and 1/4 is greater than 1 and 1/2.
Explanation:
First, let's convert 2 and 1/4 to an improper fraction. We multiply the whole number (2) by the denominator of the fraction (4) and add the numerator (1). This gives us (2 * 4) + 1 = 9. So, 2 and 1/4 can be written as the improper fraction 9/4.
Next, let's convert 1 and 1/2 to an improper fraction. Following the same process, we get (1 * 2) + 1 = 3. Therefore, 1 and 1/2 can be written as the improper fraction 3/2.
Now, we can compare the two fractions. We need to find a common denominator for 4 and 2, which is 4.
Multiplying the numerator and denominator of 9/4 by 1, we get (9 * 1) / (4 * 1) = 9/4.
Multiplying the numerator and denominator of 3/2 by 2, we get (3 * 2) / (2 * 2) = 6/4.
Now, we can see that 9/4 is greater than 6/4.
In other words, 2 and 1/4 is greater than 1 and 1/2.
To summarize:
- 2 and 1/4 can be written as the improper fraction 9/4.
- 1 and 1/2 can be written as the improper fraction 3/2.
- Comparing the two fractions, we find that 9/4 is greater than 6/4.
- Therefore, 2 and 1/4 is greater than 1 and 1/2.